Theorems · Theorem
Function.isFixedPt_id
∀ {α : Type u₁} (x : α), Function.IsFixedPt id xEvery point is a fixed point of id.
- Defined in
- Mathlib.Logic.Function.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.IsFixedPtstatement · cited by 84
Cited by5
Results whose statement or proof uses this declaration.
- Function.isPeriodicPt_zeroproof · cited by 2
- Function.fixedPoints_idproof · cited by 1
- Function.is_periodic_idproof · cited by 1
- Function.forall_isFixedPt_iffproof · cited by 0
- ZModModule.periodicPts_add_leftproof · cited by 0